Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
464 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 95 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C5×#2978 | C2 | semidirect |
| 3. #10602503 | C2 | semidirect |
| 4. #10600771 | C2 | semidirect |
| 5. #10600763 | C2 | semidirect |
| 6. #10598178 | C2 | semidirect |
| 7. #10598177 | C2 | semidirect |
| 23. #65335 | C4 | semidirect |
| 24. #65332 | C4 | semidirect |
| 26. #65325 | C4 | semidirect |
| 27. #65322 | C4 | semidirect |
| 90. #2978 | D5 | semidirect |
| 415. C5 | #9332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2978 | 2 |
| #10614662 | 2 |
| #10602503 | 2 |
| #10600771 | 2 |
| #10600763 | 2 |
| #10598178 | 2 |
| #10598177 | 2 |
| #9332 | 5 |